85122 has 12 divisors (see below), whose sum is σ = 184470. Its totient is φ = 28368.

The previous prime is 85121. The next prime is 85133. The reversal of 85122 is 22158.

It can be written as a sum of positive squares in only one way, i.e., 84681 + 441 = 291^2 + 21^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 4729 = 85122 / (8 + 5 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 85095 and 85104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85122.

It is not an unprimeable number, because it can be changed into a prime (85121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2347 + ... + 2382.

2⁸⁵¹²² is an apocalyptic number.

85122 is an abundant number, since it is smaller than the sum of its proper divisors (99348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85122 is a wasteful number, since it uses less digits than its factorization.

85122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 4734 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 85122 is about 291.7567479939. The cubic root of 85122 is about 43.9893224780.

The spelling of 85122 in words is "eighty-five thousand, one hundred twenty-two".